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Worksheets

1st 9 Weeks

Total questions: 139

Worksheet time: 4hrs 6mins

Name
Class
Date
1.

LM\overrightarrow{LM}  

a)

point LM

b)

line LM

c)

line segment LM

d)

ray LM

2.

Name the points on the plane

a)

Points J, K, L

b)

Points D, G, I

c)

Points G, H, K

d)

Points D, F, H

3.
A ________ has infinite points; one dimension and extends in opposite directions forever.
a)
Point
b)
Line
c)
Line segment
d)
Plane
4.
A ________________ consists of two endpoints.
a)
Point
b)
Line
c)
Line Segment
d)
Plane
5.

Name a point that is coplanar with line DF but not collinear

a)

G

b)

H

c)

E

6.
A part of a line with two endpoints
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
7.
A part of a line that has one endpoint and goes on forever in the other direction
a)
Line
b)
Ray
c)
Line Segment
d)
Angle
8.

Opposite rays are rays that share an endpoint and point in opposite directions. Both rays together form a(n) __________.

a)

Line

b)

Plane

c)

Intersection point

d)

Acute angle

9.

What is the correct name of the plane?

a)

N

b)

n

c)

AE

d)

C

10.

Name the 3 Collinear points on this plane.

a)

C, B, & D

b)

C, B, & A

c)

A, B, & E

d)

E, C, & D

11.

What is the missing value of segment DE?

a)

15

b)

16

c)

44

d)

26

12.

Find the value of TU

a)

-12

b)

32

c)

12

d)

20

13.
a)

19

b)

30

c)

12

d)

43

14.

Solve for X

a)

3

b)

12

c)

4

d)

5

15.

Solve for X

a)

-18

b)

2

c)

6

d)

3

16.

Find the value of HF

a)

11

b)

-7

c)

18

d)

12

17.

∠t = ∠______

a)

∠STV

b)

∠VUT

c)

∠STU

d)

∠VTU

18.

Which is the correct way to name ∠q?

a)

∠RPQ

b)

∠QPR

c)

∠PQR

19.
RM=
a)
RM=6
b)
RM=3
c)
RM=12
d)
RM=9
20.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
21.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

22.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

23.

Which symbol below indicates congruence?

a)
b)
c)
d)
24.

Select the correct formula for the Segment Addition Postulate.

a)

AB  BC = ACAB\ -\ BC\ =\ AC  

b)

AB ÷BC = ACAB\ \div BC\ =\ AC  

c)

AB + BC = ACAB\ +\ BC\ =\ AC  

25.

If a line segment has a midpoint, then what can you do to its halves?

a)

set them equal to each other

b)

add them

c)

multiply them

d)

subtract them

26.
This point divides a line segment into 2 equal parts.
a)
point
b)
vertex
c)
midpoint
d)
segment
27.

Find mEFG

a)

37°

b)

18°

c)

56°

d)

19°

28.

If m∠ABC = 103° find x.

(a)  

29.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
30.

If m∠ABC = 103° find x.

(a)  

31.

Given mQST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

32.

S is in the interior of ∠TRQ.

If m∠TRS = (4x)°, m∠SRQ = (7x)°, and m∠TRQ = 88°. Find x.

(a)  

33.
The point where 2 rays meet is called the....
a)
right angle
b)
acute angle
c)
vertex
d)
congruent
34.
An angle is made up of two _____________ that share a common ________________. 
a)
rays, endpoint
b)
endpoint, rays
c)
vertexes, name
d)
angles, point
35.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

36.

EJ \overrightarrow{EJ}\  bisects  DEF\angle DEFmDEJ=5x+7m\angle DEJ=5x+7  ,  mJEF=8x8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

37.

BD\overrightarrow{BD}  bisects ABC\angle ABCmABD=3x+5m\angle ABD=3x+5  and  mABC=2x+30m\angle ABC=2x+30 . Find  mDBCm\angle DBC  . 

a)

15°15\degree  

b)

35°35\degree  

c)

5°5\degree  

d)

20°20\degree  

38.

If KM\overrightarrow{KM}  bisects  LKJ\angle LKJ  and  mJKM=22°m\angle JKM=22\degree  find  mLKMm\angle LKM  .


a)

22

b)

44

c)

11

d)

68

e)

not enough information given

39.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

40.
a)

x=3/17

b)

x=9

c)

x=3

d)

x= -3

41.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
42.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
43.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
44.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
45.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
46.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
47.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
48.

Find the distance between (-12, 1) and (12, -1). Use a calculator to find the square

root and round to the nearest hundredth.

a)
24.05
b)
24.06
c)
24.07
d)
24.08
49.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
50.

Which of the following formulas is the distance formula?

a)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)

b)

(x2x1)2+(y2y1)2\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

c)

a2+b2=c2a^2+b^2=c^2

d)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

51.

What is the distance between (-5, 5) and (1, -2)? Use a calculator to find the

square root and round to the nearest tenth.

a)
9.2
b)
12.6
c)
14
d)
7.8
52.

Find the distance between each pair of points.

(5,9)  and (-7,-7)

a)

d=20d=20  

b)

d=25d=25  

c)

d=10d=10  

d)

d=15d=15  

53.
√100
a)
15
b)
10
c)
11
d)
12
54.

√108

a)

3√12

b)

4√27

c)

8√2

d)

6√3

55.
Simplify:
 √40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
56.
Simplify:
 √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
57.
Simplify:
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
58.

Simplify:

4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

59.
Simplify 2√12
a)
4√3
b)
2√3
c)
6√3
d)
8√3
60.

Two angles with a sum of 90 degrees

a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
61.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

62.

What is the measure of the missing angle?

a)

60°60\degree  

b)

70°70\degree  

c)

50°50\degree  

d)

140°140\degree  

63.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
64.

What equation could be used to solve for the missing angle measure?

a)

x + 19 = 180

b)

x + 19 = 19

c)

x + 19 = 60

d)

x + 19 = 90

65.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

66.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)

90° and 90°

67.

∠1 and ∠2 are _____________

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

68.

What angle is adjacent and supplementary to angle 5?

a)

∠4

b)

∠1

c)

∠3

d)

∠2

69.

Angle 2 and angle 4 are adjacent?

a)

True

b)

False

70.

Find the value of x.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

71.

Which equation will help you solve for x?

a)

2x=x+92x=x+9  

b)

2x+x+9=1802x+x+9=180  

c)

2x+x+9=902x+x+9=90  

72.
Find what the value of x.
a)
15
b)
30
c)
45
d)
60
73.

Adjacent angles share a side and a ____

a)

vertex

b)

ray

c)

geometry

d)

variable

74.

Two vertical angles are opposite each other. One has an angle measure of 55 degrees. What measure does the other angle have?

a)

45 degrees

b)

35 degrees

c)

55 degrees

d)

90 degrees

75.

Angles A and B are COMPLEMENTARY. Angle A has a measure of 30 degrees, what is the angle measure of angle B?

a)

30 degrees

b)

60 degrees

c)

90 degrees

d)

180 degrees

76.

Which angle is a linear pair with 1\angle1  ?

a)

2\angle2  

b)

3\angle3  

c)

4\angle4  

d)

5\angle5  

e)

6\angle6  

77.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

78.
Find x
a)
74
b)
148
c)
37
d)
90
79.

QRT\angle QRT  and  TRS\angle TRS are supplementary. Solve for x.

a)

12

b)

15

c)

9

d)

3

80.
Solve for x.
a)
27
b)
23
c)
47
d)
113
81.
What is the value of "a"?
a)
75°
b)
65°
c)
55°
d)
85°
82.

A\angle A  and B\angle B  are

a)

complementary

b)

supplementary

83.
Name a pair of angles that are vertical.
a)
Angles 4 and 5
b)
Angles 7 and 9
c)
Angles 8 and 9
d)
Angles 5 and 7
84.
Name a pair of angles that form a linear pair.
a)
Angles 1 and 2
b)
Angles 2 and 4
c)
Angles 5 and 8
d)
Angles 9 and 10
85.

∠7 and ∠8 are _______________

a)

Vertical

b)

Cannot be determined

c)

Adjacent

d)

Supplementary

e)

Linear Pair

86.

Which of the following is NOT TRUE about LINEAR PAIRS?

a)

Measures 180 degrees

b)

Always supplementary

c)

Forming a straight angle

d)

Opposite angles

87.
 Complementary angles measures _____ degrees.
a)
45
b)
180
c)
90
d)
30
88.

Which of the following is NOT TRUE about vertical angles?

a)

Vertical angles are opposite angles.

b)

Vertical angles have equal measures.

c)

Vertical angles are always acute.

d)

Vertical Angles are congruent

89.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
90.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

91.
If O is between FX, then FO + OX = FX.
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Congruent Segments
d)
Vertical Angles Theorem
92.
What is the reason?
a)
Definition of congrucent
b)
Definition of midpoint
c)
Definition of segment
d)
Segment Addition 
93.
What is the reason?
a)
Transitive 
b)
Substitution
c)
Middle Man
d)
Replacing 
94.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Symmetric Property of Congruence
d)
Reflexive Property of Congruence
95.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
96.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

97.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

98.

What is the justification?

a)

Transitive Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property of Equality

99.

What is the justification?

a)

Definition of Congruence

b)

Segment Addition Postulate

c)

Transitive Property of Congruence

d)

Definition of Midpoint

100.
a)

Multiplication Property of Equality

b)

Segment Addition Postulate

c)

Definition of Midpoint

d)

Symmetric Property of Congruence

101.

Which property is being used above?

a)

Addition Property

b)

Multiplication Property

c)

Subtraction Property

d)

Division Property

102.

m<AMX + m<XMB = m<AMB

a)

Segment addition postulate

b)

Angle addition postulate

c)

Definition of supplementary angles

d)

Definition of angle bisector

103.

Choose the best option to fill in the blank:

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Substitution Property of Equality

d)

Complementary Angles are Congruent

104.
What is the reason?
a)
Transitive 
b)
Substitution
c)
Middle Man
d)
Replacing 
105.
What is the reason?
a)
Angle Addition 
b)
Segment Addition
c)
Definition of Congruence
d)
Definition of Between
106.

What reason justifies statement #4?

a)

Definition of Midpoint

b)

Transitive Property

c)

Addition Property

d)

Segment Addition Postulate

e)

Substitution Property

107.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Combine Like Terms
108.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
109.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
110.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
111.
State the angle relationship and find the measure of angle 2
a)
Alternate Exterior
127
b)
Alternate Exterior
52
c)
Alternate Interior
127
d)
Alternate Interior
52
112.
A line that passes through parallel lines is called a ______________.
a)
vertical lines
b)
a passer through line
c)
transversal
d)
perpendicular line
113.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
114.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

115.

Vertical angles are ________.

a)

supplementary

b)

linear pair

c)

congruent

116.

Identify the given pair of angles.

4 and 5\angle4\ and\ \angle5  

a)

Linear pair

b)

Corresponding angles

c)

same-side interior angles

d)

Alternate interior angles

117.

4 and 6\angle4\ and\ \angle6   are same-side interior angles and supplementary. If 4 measures 70°,\angle4\ measures\ 70\degree,  find m6m\angle6  .

a)

70°70\degree  

b)

110°110\degree  

c)

10°10\degree  

d)

180°180\degree  

118.

4 and 8 are corresponding angles. If 4 measures  70°, what is m8?\angle4\ and\ \angle8\ are\ corresponding\ angles.\ If\ \angle4\ measures\ \ 70\degree,\ what\ is\ m\angle8?  

a)

180°180\degree  

b)

170°170\degree  

c)

70°70\degree  

d)

110°110\degree  

119.
Which pair is NOT corresponding?
a)
1 & 8
b)
3 & 7
c)
4 & 8
d)
1 & 5
120.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
121.

If the 𝑚∠1 = 40°, what is the measure of ∠7?

a)

40°

b)

130°

c)

50°

d)

140°

122.

Given: 𝒖 ∥ 𝒗

∠6 𝑎𝑛𝑑 ∠2 are called _________.

a)

Vertical angles

b)

Alternate exterior angles

c)

Corresponding angles

d)

Alternate interior angles

123.

Given: 𝒖 ∥ 𝒗

∠1 𝑎𝑛𝑑 ∠8 called _________.

a)

Vertical angles

b)

Alternate exterior angles

c)

Corresponding angles

d)

Alternate interior angles

124.

Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal?

a)

Corresponding angles are congruent.

b)

The vertical angles are always acute.

c)

The sum of the measures of alternate interior angles is 180°.

d)

Interior angles on the same side of the transversal are congruent.

125.

Given two parallel lines cut by a transversal, then a pair of alternate interior angles are ____________.

a)

complementary

b)

parallel

c)

congruent

d)

perpendicular

126.

These are coplanar non-intersecting lines.

a)

Parallel Lines

b)

Transversal

c)

Perpendicular Lines

d)

Skew Lines

127.

What is m8m\angle8 , if m2=100°m\angle2=100^{\degree}  ?

a)

100°100^{\degree}  

b)

80°80^{\degree}  

c)

95°95^{\degree}  

d)

85°85^{\degree}  

128.
Find y.
a)
50
b)
130
129.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
130.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
131.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
132.
Solve for x.
a)
8
b)
11
c)
5
d)
-5
133.
Solve for x.
a)
7
b)
-4
c)
8
d)
9
134.
WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?
a)
33 = 7X +5
b)
-7X=33
c)
33+7X+5=180
d)
33+7X+5=90
135.

In the figure above, what is the value of ∠B?

a)

60o

b)

20o

c)

100o

d)

120o

136.

Using what you know about vertical angles, Find the measure of angle a.

a)

34°34\degree  

b)

143°143\degree  

c)

37°37\degree  

d)

72°72\degree  

137.

Name the OPPOSITE RAYS using geometric notation.

a)

FE\overrightarrow{FE} and FG\overrightarrow{FG}

b)

EF\overrightarrow{EF} and FG\overrightarrow{FG}

c)

FE\overleftarrow{FE} and FG\overrightarrow{FG}

138.

What is the midpoint (M) of the segment with endpoints A (10, 3) and B (-4, 0)?

4 lines
139.

Using the distance formula, show that AM = MB in the previous question. How does your response show the your answer for the midpoint is actually correct.

4 lines